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Moment conditions for a Volterra integral equation in a Banach space

  • Kenneth B. Hannsgen
  • Robert L. Wheeler
Research Articles
  • 2.6k Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1475)

Abstract

For a linear Volterra equation of scalar type in a Banach space, sufficient conditions are given for three related resolvent kernels to be integrable with respect to certain weights on the positive half-line. The problem arises in the study of energy decay in viscoelastic solids, and the results lead to integral estimates for the rate of this decay.

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© Springer-Verlag 1991

Authors and Affiliations

  • Kenneth B. Hannsgen
  • Robert L. Wheeler

There are no affiliations available

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